Császár Polyhedron 4

The Császár polyhedron which is topologically equivalent to a torus was discovered in the late 1940s by Ákos Császár [Gardner, p. 139-]. It has 7 vertices, 14 faces, and 21 edges, and is the dual of the Szilassi polyhedron.

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Csaszar Polyhedron 4

What if applet does not run?

Drag the mouse to rotate the prism. Use the right button to remove and put back individual faces.

(Acknowledgement: I have learned most of Java details from the implementation by Meiko Rachimow. I found the geometry of the solid at the software3d online forum.)

... to be continued...

References

  1. M. Gardner, Time Travel and Other Mathematical Bewilderments, W.H.Freeman and Co., NY, 1988.

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  • Császár Polyhedron 1
  • Császár Polyhedron 4
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